SOLUTION: A student has scored an average of 87 on seven tests. To get an A in the class, she must have an average of 90 or greater om a total of ten tests. What is the greatest integer aver

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Question 456663: A student has scored an average of 87 on seven tests. To get an A in the class, she must have an average of 90 or greater om a total of ten tests. What is the greatest integer average the student could receive on the next three tests WITHOUT getting an A in the class?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A student has scored an average of 87 on seven tests.
To get an A in the class, she must have an average of 90 or greater on a total of ten tests.
What is the greatest integer average the student could receive on the next three tests WITHOUT getting an A in the class?
:
let x = the av of the last 3 tests, which will be less than a 90 av
:
%287%2887%29+%2B+3x%29%2F10 < 90
multiply both sides by 10
609 + 3x < 900
3x < 900 - 609
3x < 291
x < 291%2F3
x < 97, she would have av less than 97 on the last 3 tests, in order to escape getting an A
:
The integer value would be 98.